Blow-up results for nonlinear hyperbolic inequalities
Stanislav Pohozaev, Laurent Véron (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Blow-up results for nonlinear hyperbolic inequalities
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Annales de la faculté des sciences de Toulouse Mathématiques
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The goal of this paper is to study some possibly degenerate elliptic equation in a bounded domain with a nonlinear boundary condition involving measure data. We investigate two types of problems: the first one deals with the laplacian in a bounded domain with measure supported on the domain and on the boundary. A second one deals with the same type of data but involves a degenerate weight in the equation. In both cases, the nonlinearity under consideration lies on the boundary. For the...